Extensions of pseudo-Perron-Frobenius splitting related to generalized inverse A_T,S ⁽²⁾

Abstract

Abstract:We in this paper de ne the outer-Perron-Frobenius splitting, which is an extension of the pseudoPerron-Frobenius splitting de ned in [A.N. Sushama, K. Premakumari, K.C. Sivakumar, Extensions of Perron-Frobenius splittings and relationships with nonnegative Moore-Penrose inverse, Linear and Multilinear Algebra 63 (2015) 1-11]. We present some criteria for the convergence of the outer-Perron-Frobenius splitting. The ndings of this paper generalize some known results in the literatures.